What is the Least Common Multiple of 82867 and 82871?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 82867 and 82871 is 6867271157.
LCM(82867,82871) = 6867271157
Least Common Multiple of 82867 and 82871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82867 and 82871, than apply into the LCM equation.
GCF(82867,82871) = 1
LCM(82867,82871) = ( 82867 × 82871) / 1
LCM(82867,82871) = 6867271157 / 1
LCM(82867,82871) = 6867271157
Least Common Multiple (LCM) of 82867 and 82871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82867 and 82871. First we will calculate the prime factors of 82867 and 82871.
Prime Factorization of 82867
Prime factors of 82867 are 173, 479. Prime factorization of 82867 in exponential form is:
82867 = 1731 × 4791
Prime Factorization of 82871
Prime factors of 82871 are 79, 1049. Prime factorization of 82871 in exponential form is:
82871 = 791 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 82867 and 82871.
LCM(82867,82871) = 1731 × 4791 × 791 × 10491
LCM(82867,82871) = 6867271157
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